Find an Equation in Slope-Intercept Form (Where Possible) for the Line

question 127

Multiple Choice

Find an equation in slope-intercept form (where possible) for the line.
-Through $(2,1)$ , perpendicular to $-7 x+6 y=-8$

• A) \( y=-\frac{6}{7} x+\frac{19}{7} \)
• B) \( y=-\frac{6}{7} x \)
• C) \( y=\frac{6}{7} x-\frac{19}{7} \)
• D) \( y=-\frac{7}{6} x+19 \)

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Definitions:

\(- 1\)

A numeric value that is one less than zero, often representing the inverse of a quantity.

\(n + 7\)

An algebraic expression representing the sum of an unknown quantity \(n\) and the number 7.

\(n + 8\)

An algebraic expression representing the sum of a variable n and the number 8.

\(n !\)

\(n !\), pronounced n factorial, is the product of all positive integers less than or equal to n. For instance, \(4! = 4 \times 3 \times 2 \times 1 = 24\).